Area and Volume
1/3
A pyramid or cone has what fraction of the volume of a prism or cylinder of the same base and height?
The apothem of the pyramid or the radius of the cone, by the Pythagorean Formula.
For a pyramid or cone, if you know the height and slant height, what else can you figure out?
By the shape of the base, for instance, hexagonal pyramid.
How do you name prisms and pyramids?
No, a pyramid only has 1 base, but a prism has 2.
If a pyramid and prism have the same lateral surface area, will their total surface areas be the same?
LSA/P = height
If you know the lateral surface area and the perimeter of the base for a prism or cylinder, how can you find the height?
2LSA/P = slant height
If you know the lateral surface area and the perimeter of the base for a pyramid or cone, how can you find the slant height?
the area of the base
If you know the lateral surface area, to find the total surface area of a prism, cylinder, pyramid or cone you need...
V/h = B
If you know the volume and the height for a prism or cylinder, how can you find the area of the base?
3V/h = B
If you know the volume and the height for a pyramid or cone, how can you find the area of the base?
The 2 bases are parallel to each other.
In a prism, where are the bases?
the perimeter of the base and the height
To find the lateral surface area of a prism or cylinder you need...
the perimeter of the base and the slant height
To find the lateral surface area of a pyramid or cone you need...
the area of the base and the height
To find the volume of a prism, cylinder, pyramid or cone you need...
the radius
To find the volume or the surface area of a sphere you need...
If the original units were cm, then use cm for lengths, cm² for area and cm³ for volume.
What are the correct units to use on answers for lengths, areas and volumes?
b = length of base, B = area of base
What is the difference between b and B
Apothem
What is the height of one of the triangle pieces in a regular polygon called.
Circumference
What is the perimeter of a circle called?